Synthesis of Observers for Linear Systems of Neutral Type

Abstract

Two types of observers are proposed for linear autonomous differential-difference systems of neutral type. The first observer can be applied to completely identifiable systems (generalization of the spectral observability property to systems of neutral type), and it asymptotically exactly reconstructs the current state of the system. The second observer can be applied to systems without the above-cited property. The estimation error of the second observer is described, and conditions under which it asymptotically exactly reconstructs the current state of the system are proposed, as well as conditions under which the estimation error is bounded. The results are illustrated with examples.